数字逻辑设计

数字逻辑设计
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作者:
2022-08
版次: 1
ISBN: 9787121441240
定价: 59.00
装帧: 其他
页数: 292页
6人买过
  • 本书是首批国家级一流本科课程“数字逻辑设计”的主讲教材,主要介绍数字逻辑设计的相关知识与思维方法。全书共11 章,内容包括初识数字逻辑、逻辑代数基础、卡诺图化简、组合逻辑电路、触发器、时序逻辑电路分析、时序逻辑电路设计、可编程逻辑器件。 本书可作为高等院校工科类专业数字逻辑设计课程的教材,也可供对数字逻辑设计感兴趣的人员参考。 张彦航,副教授,哈尔滨工业大学计算学部软件学院智能软件工程研究中心副主任,2012年硕士毕业于哈尔滨工业大学计算机科学与技术专业,长期从事智能软件工程的教学与科研工作。 第1 章开篇——初识数字逻辑············1

    1.1 本书知识脉络······················.1

    1.2 初识数字逻辑······················.2

    1.2.1 数字系统设计的三个层次····3

    1.2.2 几个基本概念·················4

    1.2.3 数字系统中的开关器件·······5

    1.3 编码··································.5

    1.3.1 BCD 码························5

    1.3.2 余3 码·························6

    1.3.3 格雷码·························6

    1.3.4 奇偶校验码····················9

    1.4 研讨探究··························.10

    1.5 深入思考··························.11

    1.6 小故事大情怀····················.11

    习题1 ····································.11

    第2 章万丈高楼平地起——逻辑

    代数基础 ··························.12

    2.1 几个基本概念····················.12

    2.2 基本逻辑运算····················.13

    2.2.1 与运算(逻辑乘) ·········.13

    2.2.2 或运算(逻辑加) ·········.14

    2.2.3 非运算(逻辑反) ·········.14

    2.3 复合逻辑运算····················.15

    2.3.1 与非运算···················.15

    2.3.2 或非运算···················.15

    2.3.3 与或非运算·················.16

    2.3.4 异或运算···················.16

    2.3.5 同或运算···················.17

    2.4 逻辑函数的表示方法···········.18

    2.4.1 由真值表写出标准逻辑

    表达式······················.18

    2.4.2 由逻辑表达式画出真值表·.19

    2.4.3 由逻辑图得出逻辑表达式·.20

    2.4.4 由逻辑表达式画出逻辑图·.20

    2.5 逻辑代数定理及规则···········.20

    2.5.1 公理························.20

    2.5.2 基本定理···················.21

    2.5.3 特殊定理···················.21

    2.6 代数化简法·······················.23

    2.6.1 何为最简···················.23

    2.6.2 代数化简法实例············.24

    2.7 最小项与最大项·················.25

    2.7.1 最小项与最大项的定义····.25

    2.7.2 最小项与最大项的性质····.25

    2.7.3 最小项与最大项表达式····.26

    2.8 非完全给定函数·················.28

    2.8.1 无关项······················.28

    2.8.2 非完全给定函数的定义····.29

    2.9 小材大用——应用异或门

    设计旅客身高检测器···········.29

    2.10 研究探讨························.30

    2.11 深入思考························.30

    2.12 小故事大情怀··················.31

    习题2 ····································.31

    第3 章方圆之间的神奇——卡诺图

    化简 ································.33

    3.1 卡诺图的含义····················.33

    3.2 填写卡诺图·······················.34

    3.2.1 由真值表填写卡诺图······.34

    3.2.2 由标准与或式、标准或与式

    填写卡诺图·················.34

    3.2.3 由一般表达式填写卡诺图·.35

    3.3 基于卡诺图的逻辑运算·······.35

    3.4 卡诺图化简法····················.36

    3.4.1 利用卡诺图读取最简

    与或式······················.37

    3.4.2 利用卡诺图读取最简

    或与式······················.38

    3.4.3 利用卡诺图读取最简

    与或非式 ···················.38

    3.5 带无关项的卡诺图化简········.39

    3.6 卡诺图化简的进一步讨论·····.41

    3.6.1 展开定理···················.41

    3.6.2 卡诺图拆分后相邻单元格

    的判断······················.41

    3.7 研究探讨··························.43

    3.8 深入思考··························.43

    3.9 小故事大情怀····················.44

    习题3 ····································.44

    第4 章玩转逻辑门——组合逻辑

    电路(一) ·······················.45

    4.1 门电路的级数····················.45

    4.1.1 二级门电路·················.45

    4.1.2 二级门电路的8 种基本

    形式 ························.47

    4.2 利用单一逻辑门设计二级

    组合逻辑电路···················.48

    4.2.1 利用与非门设计二级组合

    逻辑电路 ···················.48

    4.2.2 利用或非门设计二级组合

    逻辑电路 ···················.49

    4.2.3 利用与或非门设计二级

    组合逻辑电路 ··············.50

    4.3 利用单一逻辑门设计多级

    组合逻辑电路···················.51

    4.3.1 利用与非门设计多级组合

    逻辑电路 ···················.51

    4.3.2 利用或非门设计多级组合

    逻辑电路 ···················.51

    4.4 多输出电路的设计··············.52

    4.5 组合逻辑电路的分析···········.53

    4.6 应用案例——多功能函数

    发生器·····························.55

    4.7 利用逻辑门设计组合逻辑

    电路 ·······························.55

    4.8 使用有限扇入门设计组合

    逻辑电路 ·························.58

    4.9 典型组合逻辑部件··············.59

    4.9.1 半加器······················.59

    4.9.2 全加器······················.60

    4.9.3 并行加法器·················.61

    4.9.4 集电极开路门··············.63

    4.9.5 三态缓冲器·················.64

    4.10 研讨探究························.66

    4.11 深入思考························.67

    4.12 小故事大情怀··················.67

    习题4 ····································.67

    第5 章险象环生——组合逻辑

    电路(二) ·······················.69

    5.1 组合逻辑电路中的险象········.69

    5.1.1 门延迟······················.69

    5.1.2 组合逻辑电路的冒险······.69

    5.1.3 冒险的类型·················.70

    5.2 险象的判别·······················.73

    5.2.1 代数判别法·················.73

    5.2.2 卡诺图判别法··············.74

    5.3 险象的消除·······················.74

    5.4 组合逻辑电路的测试···········.76

    5.5 研讨探究··························.76

    5.6 深入思考··························.77

    5.7 小故事大情怀····················.77

    习题5 ····································.77

    第6 章数字逻辑的基石——组合

    逻辑电路(三) ·················.79

    6.1 集成电路的分类·················.79

    6.2 数据选择器·······················.80

    6.3 译码器·····························.83

    6.3.1 二进制译码器··············.83

    6.3.2 代码转换译码器············.85

    6.3.3 显示译码器·················.87

    6.4 编码器·····························.88

    6.4.1 普通编码器·················.88

    6.4.2 优先权编码器··············.90

    6.5 数值比较器··················6
  • 内容简介:
    本书是首批国家级一流本科课程“数字逻辑设计”的主讲教材,主要介绍数字逻辑设计的相关知识与思维方法。全书共11 章,内容包括初识数字逻辑、逻辑代数基础、卡诺图化简、组合逻辑电路、触发器、时序逻辑电路分析、时序逻辑电路设计、可编程逻辑器件。 本书可作为高等院校工科类专业数字逻辑设计课程的教材,也可供对数字逻辑设计感兴趣的人员参考。
  • 作者简介:
    张彦航,副教授,哈尔滨工业大学计算学部软件学院智能软件工程研究中心副主任,2012年硕士毕业于哈尔滨工业大学计算机科学与技术专业,长期从事智能软件工程的教学与科研工作。
  • 目录:
    第1 章开篇——初识数字逻辑············1

    1.1 本书知识脉络······················.1

    1.2 初识数字逻辑······················.2

    1.2.1 数字系统设计的三个层次····3

    1.2.2 几个基本概念·················4

    1.2.3 数字系统中的开关器件·······5

    1.3 编码··································.5

    1.3.1 BCD 码························5

    1.3.2 余3 码·························6

    1.3.3 格雷码·························6

    1.3.4 奇偶校验码····················9

    1.4 研讨探究··························.10

    1.5 深入思考··························.11

    1.6 小故事大情怀····················.11

    习题1 ····································.11

    第2 章万丈高楼平地起——逻辑

    代数基础 ··························.12

    2.1 几个基本概念····················.12

    2.2 基本逻辑运算····················.13

    2.2.1 与运算(逻辑乘) ·········.13

    2.2.2 或运算(逻辑加) ·········.14

    2.2.3 非运算(逻辑反) ·········.14

    2.3 复合逻辑运算····················.15

    2.3.1 与非运算···················.15

    2.3.2 或非运算···················.15

    2.3.3 与或非运算·················.16

    2.3.4 异或运算···················.16

    2.3.5 同或运算···················.17

    2.4 逻辑函数的表示方法···········.18

    2.4.1 由真值表写出标准逻辑

    表达式······················.18

    2.4.2 由逻辑表达式画出真值表·.19

    2.4.3 由逻辑图得出逻辑表达式·.20

    2.4.4 由逻辑表达式画出逻辑图·.20

    2.5 逻辑代数定理及规则···········.20

    2.5.1 公理························.20

    2.5.2 基本定理···················.21

    2.5.3 特殊定理···················.21

    2.6 代数化简法·······················.23

    2.6.1 何为最简···················.23

    2.6.2 代数化简法实例············.24

    2.7 最小项与最大项·················.25

    2.7.1 最小项与最大项的定义····.25

    2.7.2 最小项与最大项的性质····.25

    2.7.3 最小项与最大项表达式····.26

    2.8 非完全给定函数·················.28

    2.8.1 无关项······················.28

    2.8.2 非完全给定函数的定义····.29

    2.9 小材大用——应用异或门

    设计旅客身高检测器···········.29

    2.10 研究探讨························.30

    2.11 深入思考························.30

    2.12 小故事大情怀··················.31

    习题2 ····································.31

    第3 章方圆之间的神奇——卡诺图

    化简 ································.33

    3.1 卡诺图的含义····················.33

    3.2 填写卡诺图·······················.34

    3.2.1 由真值表填写卡诺图······.34

    3.2.2 由标准与或式、标准或与式

    填写卡诺图·················.34

    3.2.3 由一般表达式填写卡诺图·.35

    3.3 基于卡诺图的逻辑运算·······.35

    3.4 卡诺图化简法····················.36

    3.4.1 利用卡诺图读取最简

    与或式······················.37

    3.4.2 利用卡诺图读取最简

    或与式······················.38

    3.4.3 利用卡诺图读取最简

    与或非式 ···················.38

    3.5 带无关项的卡诺图化简········.39

    3.6 卡诺图化简的进一步讨论·····.41

    3.6.1 展开定理···················.41

    3.6.2 卡诺图拆分后相邻单元格

    的判断······················.41

    3.7 研究探讨··························.43

    3.8 深入思考··························.43

    3.9 小故事大情怀····················.44

    习题3 ····································.44

    第4 章玩转逻辑门——组合逻辑

    电路(一) ·······················.45

    4.1 门电路的级数····················.45

    4.1.1 二级门电路·················.45

    4.1.2 二级门电路的8 种基本

    形式 ························.47

    4.2 利用单一逻辑门设计二级

    组合逻辑电路···················.48

    4.2.1 利用与非门设计二级组合

    逻辑电路 ···················.48

    4.2.2 利用或非门设计二级组合

    逻辑电路 ···················.49

    4.2.3 利用与或非门设计二级

    组合逻辑电路 ··············.50

    4.3 利用单一逻辑门设计多级

    组合逻辑电路···················.51

    4.3.1 利用与非门设计多级组合

    逻辑电路 ···················.51

    4.3.2 利用或非门设计多级组合

    逻辑电路 ···················.51

    4.4 多输出电路的设计··············.52

    4.5 组合逻辑电路的分析···········.53

    4.6 应用案例——多功能函数

    发生器·····························.55

    4.7 利用逻辑门设计组合逻辑

    电路 ·······························.55

    4.8 使用有限扇入门设计组合

    逻辑电路 ·························.58

    4.9 典型组合逻辑部件··············.59

    4.9.1 半加器······················.59

    4.9.2 全加器······················.60

    4.9.3 并行加法器·················.61

    4.9.4 集电极开路门··············.63

    4.9.5 三态缓冲器·················.64

    4.10 研讨探究························.66

    4.11 深入思考························.67

    4.12 小故事大情怀··················.67

    习题4 ····································.67

    第5 章险象环生——组合逻辑

    电路(二) ·······················.69

    5.1 组合逻辑电路中的险象········.69

    5.1.1 门延迟······················.69

    5.1.2 组合逻辑电路的冒险······.69

    5.1.3 冒险的类型·················.70

    5.2 险象的判别·······················.73

    5.2.1 代数判别法·················.73

    5.2.2 卡诺图判别法··············.74

    5.3 险象的消除·······················.74

    5.4 组合逻辑电路的测试···········.76

    5.5 研讨探究··························.76

    5.6 深入思考··························.77

    5.7 小故事大情怀····················.77

    习题5 ····································.77

    第6 章数字逻辑的基石——组合

    逻辑电路(三) ·················.79

    6.1 集成电路的分类·················.79

    6.2 数据选择器·······················.80

    6.3 译码器·····························.83

    6.3.1 二进制译码器··············.83

    6.3.2 代码转换译码器············.85

    6.3.3 显示译码器·················.87

    6.4 编码器·····························.88

    6.4.1 普通编码器·················.88

    6.4.2 优先权编码器··············.90

    6.5 数值比较器··················6
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